464560000 has 80 divisors (see below), whose sum is σ = 1156692240. Its totient is φ = 185792000.

The previous prime is 464559983. The next prime is 464560021. The reversal of 464560000 is 65464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77097 + ... + 82903.

It is an arithmetic number, because the mean of its divisors is an integer number (14458653).

Almost surely, 2^464560000 is an apocalyptic number.

464560000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578346120).

464560000 is an abundant number, since it is smaller than the sum of its proper divisors (692132240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464560000 is an frugal number, since it uses more digits than its factorization.

464560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 464560000 is about 21553.6539825618. The cubic root of 464560000 is about 774.4866527582.

The spelling of 464560000 in words is "four hundred sixty-four million, five hundred sixty thousand".